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2250828560 = 245171655021
BaseRepresentation
bin1000011000101000…
…1110101100010000
312210212022221022202
42012022032230100
514102203003220
61011203022332
7106530504251
oct20612165420
95725287282
102250828560
11a555968a2
1252996a9a8
1329b419c26
14174d0cb28
15d290c275
hex8628eb10

2250828560 has 40 divisors (see below), whose sum is σ = 5541013656. Its totient is φ = 847370240.

The previous prime is 2250828557. The next prime is 2250828631. The reversal of 2250828560 is 658280522.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1236788224 + 1014040336 = 35168^2 + 31844^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 826151 + ... + 828870.

Almost surely, 22250828560 is an apocalyptic number.

2250828560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2250828560 is an abundant number, since it is smaller than the sum of its proper divisors (3290185096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2250828560 is a wasteful number, since it uses less digits than its factorization.

2250828560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655051 (or 1655045 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 38.

The square root of 2250828560 is about 47442.8978878820. The cubic root of 2250828560 is about 1310.5315248823.

The spelling of 2250828560 in words is "two billion, two hundred fifty million, eight hundred twenty-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 1655021 3310042 6620084 8275105 13240168 16550210 26480336 28135357 33100420 56270714 66200840 112541428 132401680 140676785 225082856 281353570 450165712 562707140 1125414280 2250828560